# Standard equation of a line

## Standard Form Equation of a line

Vector and Parametric Equations of a Line (Line in 3 dimensions)

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Forms of linear equations Standard form. Intro to linear equation standard form. Clarifying standard form rules. Practice: Graph from linear standard form. Converting from slope-intercept to standard form.

The standard form of a line is just another way of writing the equation of a line. It gives all of the same information as the slope-intercept form that we learned.
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The standard form of a line is just another way of writing the equation of a line. It gives all of the same information as the slope-intercept form that we learned about on Day 5 just written differently. To change this into standard form, we start by moving the x-term to the left side of the equation. This is done by subtracting mx from both sides. The coefficient of the x-term should be a positive integer value, so we multiply the entire equation by an integer value that will make the coefficient positive, as well as, all of the coefficeints integers.

We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line. In the chart below, notice that the slope and y-intercept are grey. These are the two values that must know to write an equation in slope intercept form. We know that if we have two points, we can use the slope formula to find the slope.

There are many different ways that you can express the equation of a line. There is the slope intercept form , point slope form and also this page's topic. Each one expresses the equation of a line, and each one has its own pros and cons. For instance, point slope form makes it easy to find the line's equation when you only know the slope and a single point on the line. Standard form also has some distinct uses, but more on that later. How to find the x intercept.

## Find the Equation of a Line Given That You Know Two Points it Passes Through

Learning Objective s. Linear equations can take several forms, such as the point-slope formula , the slope-intercept formula , and the standard form of a linear equation., So, before we get into the equations of lines we first need to briefly look at vector functions.

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